CN105825007B - The auxiliary spring that end contact reinforcement end lacks piece major-minor spring works load Method for Checking - Google Patents
The auxiliary spring that end contact reinforcement end lacks piece major-minor spring works load Method for Checking Download PDFInfo
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Abstract
The auxiliary spring for lacking piece major-minor spring the present invention relates to end contact reinforcement end works load Method for Checking, belongs to suspension leaf spring technical field.The present invention lacks the structure size and elasticity modulus of the main spring of piece according to each reinforcement end, it is first determined goes out the endpoint deformation coefficient G of each main springx‑EiWith half stiffness KMiAnd deformation coefficient G of the main springs of N at end flat segments and auxiliary spring contact pointx‑DE；Then, then, value, the thickness h of the root flat segments of the main spring of N pieces are designed according to major-minor spring gap2And the half stiffness K of each main springMi, the auxiliary spring of few main spring of piece reinforced to the end contact load that works checks.By ANSYS simulating, verifyings, it is found that the auxiliary spring that the main spring of the reinforced few piece of end contact can be obtained using method is worked, the checking computations value of load, the design level and performance of the few piece major-minor spring of raising improve vehicle ride comfort；Meanwhile design and testing expenses are reduced, accelerate product development speed.
Description
Technical field
The present invention relates to the auxiliary springs that vehicle suspension leaf spring, especially end contact reinforcement end lack piece major-minor spring
The load that works Method for Checking.
Background technology
In order to meet the requirement of vehicle suspension variation rigidity, few piece variable-section steel sheet spring is usually designed as major and minor spring,
In, certain major-minor spring gap is designed between auxiliary spring contact and main spring, it is ensured that load is more than after certain load, major and minor spring
It contacts and cooperatively works, meet suspension rate and auxiliary spring functions to the design requirement of load.Due to few piece variable cross-section
The 1st of main spring its stress is complicated, is subjected to vertical load, while also subject to torsional load and longitudinal loading, therefore, practical
The thickness and length of the end flat segments of the 1st designed main spring are more than the thickness of the end flat segments of other each main spring
And length, that is, use the non-few piece variable-section steel sheet spring for waiting structures in end；Meanwhile main spring end flat segments and parabolic segment it
Between add an oblique line section, booster action is risen to main spring end, that is, uses few piece variable cross-section of the non-equal structures in end and reinforcement end
Main spring.In addition, to meet the design requirement of major-minor spring different composite rigidity, the auxiliary spring length of use is different, auxiliary spring contact and master
The contact position of spring is different, and therefore, few piece variable cross-section major-minor spring can be divided into：End contact and non-end contact.It is few
The auxiliary spring of the main spring of piece variable cross-section works the size of load, influences vehicle ride performance, and therefore, the auxiliary spring load that works is necessary
Meet the design requirement of the main spring of few piece variable cross-section.Then, since reinforcement end lacks piece variable-section steel sheet spring at an arbitrary position
Deformation calculating is extremely complex, therefore, previously fails always to provide the auxiliary spring that end contact reinforcement end lacks piece major-minor spring
The Method for Checking of used load.Although previous once someone gives the design and calculation method of few piece variable-section steel sheet spring, for example,
Peng Mo, high army once existed《Automobile engineering》, (volume 14) the 3rd phase in 1992, it is proposed that the design calculating side of variable-section steel sheet spring
Method, this method are designed and calculate primarily directed to few piece variable-section steel sheet spring of the structures such as end, and shortcoming is not
The design requirement that few piece variable-section steel sheet spring of the non-equal structures in end can be met, can not meet reinforcement end and lack piece major-minor spring
Auxiliary spring work load checking computations requirement.Therefore, it is necessary to establish, one kind is accurate, reliable end contact reinforcement end is few
The auxiliary spring of piece major-minor spring works the Method for Checking of load, and it is fast-developing and to few piece variable cross-section major-minor steel plate to meet Vehicle Industry
The requirement of spring careful design improves design level, the product quality and performances of variable-section steel sheet spring, and it is flat to improve vehicle traveling
Pliable and safety；Meanwhile design and testing expenses are reduced, accelerate product development speed.
Invention content
Defect present in for the above-mentioned prior art, technical problem to be solved by the invention is to provide it is a kind of it is easy,
The auxiliary spring that reliable end contact reinforcement end lack piece major-minor spring works load Method for Checking, checking computations flow chart, such as Fig. 1
It is shown.Contact reinforced few piece variable cross-section major-minor spring in end is symmetrical structure, and the half symmetrical structure of major-minor spring can be seen as
Cantilever beam sees symmetrical center line as root fixing end, the contact of the end stress point of main spring and auxiliary spring is regarded as respectively
For main spring endpoint and auxiliary spring endpoint.End contact reinforcement end lacks the half symmetrical structure schematic diagram of piece major-minor spring, such as Fig. 2
It is shown, wherein including：Main spring 1, root shim 2, auxiliary spring 3, end pad 4；The half length of main spring 1 each is L, is by root
Four sections of portion's flat segments, parabolic segment, oblique line section, end flat segments compositions；Oblique line section plays booster action to the main spring end of variable cross-section；
The thickness of each root flat segments is h2, clipping room away from half be l3, the distance of root to the main spring endpoint of parabolic segment is
l2, the piece number of main spring is N, wherein the end thickness of each parabolic segment is h1ip, i.e., the thickness ratio β of each parabolic segmenti=
h1ip/h2, the length of oblique line section is Δ l, the distance l of the root of oblique line section to main spring endpoint1ip=l2βi 2, i=1,2 ..., N；Respectively
The non-equal structures of end flat segments of the main spring of piece, i.e., the thickness and length of the end flat segments of the 1st main spring are more than other each thickness
Degree and length；The thickness of the end flat segments of each main spring is h1i, the distance of end to the main spring endpoint of oblique line section is l1i=
l1ipΔ l, thickness ratio γ=h of oblique line section1i/h1ip.Each root flat segments of main spring 1 and with the root flat segments of auxiliary spring 3 it
Between be equipped with root shim 2；End pad 4 is equipped between each end flat segments of main spring 1, the material of end pad 4 is carbon fiber
Tie up composite material, produced frictional noise when for reducing spring works.The half length of auxiliary spring 3 is LA, auxiliary spring contact and master
The horizontal distance of spring endpoint is l0.Major-minor spring gap delta is equipped between 3 contact of N pieces end flat segments and auxiliary spring of main spring 1, when
When load when load is functioned to more than auxiliary spring, auxiliary spring contact is in contact with certain point in the flat segments of main spring end.At each
In the case of the structural parameters of main spring, elasticity modulus, the length of auxiliary spring, major-minor spring gap design value are given, to end contact end
The auxiliary spring of the reinforced few piece major-minor spring in the portion load that works is checked.
In order to solve the above technical problems, contact reinforcement end in end provided by the present invention lacks the auxiliary spring of piece major-minor spring
The load that works Method for Checking, it is characterised in that use following checking computations step：
(1) each reinforcement end lacks the endpoint deformation coefficient G of the main spring of piecex-EiIt calculates：
Lack the half length L of the main spring of piece according to reinforcement end, width b, elastic modulus E, the length Δ l of oblique line section throws
Distance l of the root of object line segment to main spring endpoint2, main reed number N, wherein the thickness of each main spring root flat segments is h2, i-th
The end thickness of the parabolic segment of the main spring of piece is h1ip, the thickness ratio β of the parabolic segment of i-th main springi=h1ip/h2, i-th master
Distance l of the root of spring oblique line section to main spring endpoint1ip, the distance l of the end of i-th main spring oblique line section to main spring endpoint1i, i-th
The thickness of the end flat segments of the main spring of piece is h1i, thickness ratio γ=h of oblique line section1i/h1ip, i=1,2 ..., N, to each main spring
Endpoint deformation coefficient Gx-EiIt is calculated, i.e.,
(2) N piece reinforcement ends lack deformation coefficient G of the main spring of piece at end flat segments and auxiliary spring contact pointx-DEMeter
It calculates：
Lack the half length L of the main spring of piece according to reinforcement end, width b, elastic modulus E, the length Δ l of oblique line section throws
Distance l of the root of object line segment to main spring endpoint2；Main reed number N, wherein the end thickness of the parabolic segment of the main spring of N pieces is
h1Np, the thickness ratio β of the parabolic segment of the main spring of N piecesN=h1Np/h2, the distance l of the root of oblique line section to main spring endpoint1Np, oblique line
Distance l of the end of section to main spring endpoint1N, the thickness ratio γ of oblique line section；The horizontal distance l of auxiliary spring contact and main spring endpoint0；It is right
Deformation coefficient G of the main spring of N pieces at end flat segments and auxiliary spring contact pointx-DEIt is calculated, i.e.,
(3) each reinforcement end lacks the half stiffness K of the main spring of pieceMiIt calculates：
Lack the thickness h of the root flat segments of the main spring of piece according to each reinforcement end2, in main reed number N and step (1)
The endpoint deformation coefficient G for each main spring being calculatedx-Ei, the half stiffness K of the main spring of piece is lacked to each reinforcement endMiIt carries out
It calculates, i.e.,
(4) contact reinforcement end in end lacks the auxiliary spring of piece major-minor spring and functions to load pKChecking computations：
Lack the thickness h of the root flat segments of the main spring of piece according to each reinforcement end2, main reed number N, major-minor spring gap delta,
The G being calculated in step (2)x-DEAnd the half stiffness K for each main spring being calculated in step (3)Mi, end is contacted
The auxiliary spring that formula reinforcement end lacks piece major-minor spring functions to load pKIt is checked, i.e.,
In formula, KMNFor the half rigidity of the main spring of N pieces.
The present invention has the advantage that than the prior art
Reinforcement end lack piece variable-section steel sheet spring deform at an arbitrary position calculate it is extremely complex, previously failed always to
Go out end contact reinforcement end and lack the auxiliary spring of piece major-minor spring to work the Method for Checking of load.The present invention can be according to each bit end
The structure size of the reinforced few main spring of piece in portion, elasticity modulus, it is first determined endpoint deformation coefficient and the half for going out each main spring are rigid
The deformation coefficient of degree and the main springs of N at end flat segments and auxiliary spring contact point；Then, according to the design value in major-minor spring gap,
The half rigidity of each main spring, the deformation of the thickness and the main springs of N of root flat segments at end flat segments and auxiliary spring contact point
Coefficient checks the auxiliary spring load that works.By designing example and ANSYS simulating, verifyings it is found that standard can be obtained in this method
Really, reliable end contact reinforcement end lacks the auxiliary spring of piece major-minor spring and works load checking computations value, is end contact end
The load checking computations of working of the auxiliary spring of the reinforced few piece major-minor spring in portion provide reliable method.Using this method, vehicle can be improved
Design level, product quality and performances and the vehicle ride performance of suspension variable cross-section major-minor leaf spring, meanwhile, it can also reduce
Product development speed is accelerated in bearing spring quality and cost and design and testing expenses.
Description of the drawings
For a better understanding of the present invention, it is described further below in conjunction with the accompanying drawings.
Fig. 1 is that end contact reinforcement end lacks the auxiliary spring of piece major-minor spring and works the checking computations flow chart of load；
Fig. 2 is the half symmetrical structure schematic diagram that end contact reinforcement end lacks piece major-minor spring；
Fig. 3 is the deformation simulation cloud atlas of the main spring of the reinforced few piece of embodiment one end；
Fig. 4 is the deformation simulation cloud atlas that two reinforcement end of embodiment lacks the main spring of piece.
Specific implementation mode
Below by embodiment, invention is further described in detail.
Embodiment one：Certain reinforcement end lacks the piece number N=2 of the main spring of piece, wherein the half length L=of each main spring
575mm, width b=60mm, elastic modulus E=200GPa, the thickness h of root flat segments2=10.72mm, clipping room away from one
Half l3=55mm, the distance l of the root of parabolic segment to main spring endpoint2=L-l3=520mm.The end of 1st main spring parabolic segment
Portion's thickness h11p=6mm, the thickness h of end flat segments11=7mm, the thickness ratio β of the 1st main spring parabolic segment1=h11p/h2=
Distance l of the root of the oblique line section of 0.55, the 1st main spring to main spring endpoint11p=l2β1 2=157.51mm.The throwing of 2nd main spring
The end thickness h of object line segment12p=4.7mm, the thickness h of end flat segments12=5.5mm, the thickness of the parabolic segment of the 2nd main spring
Degree compares β2=h12p/h2Distance l of the root of=0.44, the 2nd main spring oblique line section to main spring endpoint12p=l2β2 2=100.81mm；
The length Δ l=30mm of the oblique line section of each main spring, thickness ratio γ=h of oblique line section11/h11p=h12/h12p=1.17；1st
Distance l of the end of main spring oblique line section to main spring endpoint11=l11pThe end of Δ l=127.51mm, the 2nd main spring oblique line section are arrived
The distance l of main spring endpoint12=l12pΔ l=70.81mm.The half length L of auxiliary springA=525mm, auxiliary spring contact and main spring endpoint
Horizontal distance l0=50mm, major-minor spring gap design value δ=41.15mm between auxiliary spring contact and main spring end flat segments；
The auxiliary spring that the end contact reinforcement end the lacks piece major-minor spring load that works is checked.
The end contact reinforcement end that present example is provided lack piece major-minor spring auxiliary spring work load checking computations
Method, checking computations flow is as shown in Figure 1, specifically steps are as follows for checking computations：
(1) each reinforcement end lacks the endpoint deformation coefficient G of the main spring of piecex-EiIt calculates：
Lack the half length L=575mm of the main spring of piece according to reinforcement end, width b=60mm, elastic modulus E=
200GPa, the length Δ l=30mm of oblique line section, the distance l of the root of parabolic segment to main spring endpoint2=520mm, main reed number
N=2, wherein the thickness ratio β of the parabolic segment of the 1st main spring1The thickness ratio β of the parabolic segment of=0.55, the 2nd main spring2=
0.44；Distance l of the root of 1st main spring oblique line section to main spring endpoint11p=157.51mm, the root of the 2nd main spring oblique line section
To the distance l of main spring endpoint12p=100.81mm；Distance l of the end of 1st main spring oblique line section to main spring endpoint11=
127.51mm, the distance l of the end of the 2nd main spring oblique line section to main spring endpoint12=70.81mm；The thickness ratio γ of oblique line section=
1.17, to the endpoint deformation coefficient G of the 1st main spring and the 2nd main springx-E1And Gx-E2It is calculated into row respectively, i.e.,
(2) N piece reinforcement ends lack deformation coefficient G of the main spring of piece at end flat segments and auxiliary spring contact pointx-DEMeter
It calculates：
Lack the half length L=575mm of the main spring of piece according to reinforcement end, width b=60mm, elastic modulus E=
200GPa, the length Δ l=30mm of oblique line section, the distance l of the root of parabolic segment to main spring endpoint2=520mm, main reed number
N=2, wherein the thickness ratio β of the parabolic segment of the 2nd main spring2The root of=0.44, the 2nd main spring oblique line section is to main spring endpoint
Distance l12p=100.81mm, the distance l of the end of the 2nd main spring oblique line section to main spring endpoint12=70.81mm, oblique line section
Thickness ratio γ=1.17, the horizontal distance l of auxiliary spring contact and main spring endpoint0=50mm, to the 2nd main spring end flat segments with
Deformation coefficient G at auxiliary spring contact pointx-DEIt is calculated, i.e.,
(3) each reinforcement end lacks the half stiffness K of the main spring of pieceMiIt calculates：
Lack the thickness h of the root flat segments of the main spring of piece according to each reinforcement end2=10.72mm, main reed number N=2,
And the G being calculated in step (1)x-E1=100.16mm4/ N and Gx-E2=105.23mm4/ N, to the 1st main spring and the 2nd master
The half stiffness K of springM1And KM2It is respectively calculated, i.e.,
(4) contact reinforcement end in end lacks the auxiliary spring of piece major-minor spring and works load pKChecking computations：
Lack the thickness h of the root flat segments of the main spring of piece according to each reinforcement end2=10.72mm, main reed number N=2,
Major-minor spring gap delta=41.15mm, the G being calculated in step (2)x-DE=86.62mm4It is calculated in/N and step (3)
KM1=12.30N/mm and KM2=11.71N/mm, the auxiliary spring for lacking piece major-minor spring to the end contact reinforcement end work
Load pKIt is checked, i.e.,
Using ANSYS finite element emulation softwares, the structural parameters and material property of the main spring of piece are lacked according to the reinforcement end
Parameter establishes ANSYS simulation models, grid division, and applies fixed constraint in the root of simulation model, applies in main spring endpoint
The half i.e. P=1200N for checking load when obtained auxiliary spring functions to lacks the reinforcement end change of the main spring of piece
Shape progress ANSYS emulation, obtained deformation simulation cloud atlas, as shown in Figure 3, wherein the main spring is apart from end position 50mm
Deflection δ=the 41.14mm at place.
It is found that under same load, the end contact reinforced few main spring of piece with auxiliary spring contact point at deform
ANSYS simulating, verifying value δ=41.14mm, the major-minor spring gap design value phase with the reinforced few piece major-minor spring of the end contact
It coincide, relative deviation is only 0.02%；The result shows that the end contact reinforcement end that the invention is provided lacks piece major-minor spring
The auxiliary spring load Method for Checking that works be correct, load checking computations value is accurately and reliably.
Embodiment two：Certain reinforcement end lacks the piece number N=2 of the main spring of piece, wherein the half length L=of each main spring
600mm, width b=60mm, elastic modulus E=200GPa, the thickness h of root flat segments2=13.87mm, clipping room away from one
Half l3=60mm, the distance l of the root of parabolic segment to main spring endpoint2=L-l3=540mm.The parabolic segment of 1st main spring
End thickness h11p=7.62mm, the thickness h of the end flat segments of the 1st main spring11=8.9mm, the parabolic segment of the 1st main spring
Thickness ratio β1=h11p/h2Distance l of the root of=0.55, the 1st main spring oblique line section to main spring endpoint11p=l2β1 2=
163.41mm.The end thickness h of the parabolic segment of 2nd main spring12p=6.1mm, the thickness of the end flat segments of the 2nd main spring
h12=7.14mm, the thickness ratio β of the parabolic segment of the 2nd main spring2=h12p/h2The root of=0.44, the 2nd main spring oblique line section
To the distance l of main spring endpoint12p=l2β2 2=104.45mm.The length Δ l=30mm of the oblique line section of each main spring, oblique line section
Thickness ratio γ=h11/h11p=h12/h12p=1.17.Distance l of the end of the oblique line section of 1st main spring to main spring endpoint11=
l11pΔ l=133.41mm, the distance l of the end of the 2nd main spring oblique line section to main spring endpoint12=l12pΔ l=74.45mm.
The half length L of auxiliary springA=540mm, the horizontal distance l of auxiliary spring contact and main spring endpoint0=60mm, auxiliary spring contact and main spring end
Major-minor spring gap delta=51.97mm between in portion's flat segments.Lack the auxiliary spring of piece major-minor spring to the end contact reinforcement end
Work load pKIt is checked.
Using Method for Checking identical with embodiment one and step, piece major-minor spring is lacked to the end contact reinforcement end
Auxiliary spring work load pKIt is checked, steps are as follows for specific checking computations：
(1) each reinforcement end lacks the endpoint deformation coefficient G of the main spring of piecex-EiIt calculates：
Lack the half length L=600mm of the main spring of piece according to reinforcement end, width b=60mm, elastic modulus E=
200GPa, the length Δ l=30mm of oblique line section, thickness ratio γ=1.17 of oblique line section, the root of parabolic segment to main spring endpoint
Distance l2=540mm；Main reed number N=2, wherein the thickness ratio β of the parabolic segment of the 1st main spring1=0.55, oblique line section
Distance l of the root to main spring endpoint11p=163.41mm, the distance l of the end of oblique line section to main spring endpoint11=133.41mm；The
The thickness ratio β of 2 main spring parabolic segments2=0.44, the distance l of the root of oblique line section to main spring endpoint12p=104.45mm is thrown
The thickness ratio β of object line segment2=0.44, the distance l of the end of oblique line section to main spring endpoint12=74.45mm, i.e., to the 1st main spring
With the endpoint deformation coefficient G of the 2nd main springx-E1And Gx-E2It is respectively calculated, i.e.,
(2) N piece reinforcement ends lack deformation coefficient G of the main spring of piece at end flat segments and auxiliary spring contact pointx-DEMeter
It calculates：
Lack the half length L=600mm of the main spring of piece according to reinforcement end, width b=60mm, elastic modulus E=
200GPa, the length Δ l=30mm of oblique line section, the distance l of the root of parabolic segment to main spring endpoint2=540mm；Main reed number
N=2, wherein the thickness ratio β of the parabolic segment of the 2nd main spring2=0.44, the distance l of the root of oblique line section to main spring endpoint12p
=104.45mm, the distance l of the end of oblique line section to main spring endpoint12=74.45mm, thickness ratio γ=1.17 of oblique line section are secondary
The horizontal distance l of spring contact and main spring endpoint0=60mm, to change of the 2nd main spring at end flat segments and auxiliary spring contact point
Shape coefficient Gx-DEIt is calculated, i.e.,
(3) each reinforcement end lacks the half stiffness K of the main spring of pieceMiIt calculates：
Lack the thickness h of the root flat segments of the main spring of piece according to each reinforcement end2=13.87mm, main reed number N=2,
And the G being calculated in step (1)x-E1=113.19mm4/ N and Gx-E2=118.88mm4/ N, to the 1st main spring and the 2nd master
The half stiffness K of springM1And KM2It is respectively calculated, i.e.,
(4) contact reinforcement end in end lacks the auxiliary spring of piece major-minor spring and works load pKChecking computations：
Lack the thickness h of the root flat segments of the main spring of piece according to each reinforcement end2=13.87mm, main reed number N=2,
G is calculated in (2) in major-minor spring gap delta=51.97mm, stepx-DE=94.75mm4It is calculated in/N and step (3)
KM1=23.57N/mm and KM2=22.45N/mm, the auxiliary spring for lacking piece major-minor spring to the end contact reinforcement end work
Load pKIt is checked, i.e.,
Using ANSYS finite element emulation softwares, the structural parameters and material property of the main spring of piece are lacked according to the reinforcement end
Parameter establishes ANSYS simulation models, grid division, and applies fixed constraint in the root of simulation model, applies in main spring endpoint
The half i.e. P=3000N for checking load when obtained auxiliary spring functions to lacks the reinforcement end change of the main spring of piece
Shape progress ANSYS emulation, obtained deformation simulation cloud atlas, as shown in Figure 4, wherein the main spring is apart from end position 60mm
Deflection δ=the 52.08mm at place.
It is found that under same load, the main spring of the leaf spring with auxiliary spring contact point at the ANSYS simulating, verifying values that deform
δ=52.08mm matches with major-minor spring gap design value δ=51.97mm, and relative deviation is only 0.21%；The result shows that the hair
The auxiliary spring that bright provided end contact reinforcement end the lacks piece major-minor spring load Method for Checking that works is correct, load
Checking computations value is accurately and reliably.
Claims (1)
1. the auxiliary spring that end contact reinforcement end lacks piece major-minor spring works load Method for Checking, wherein reinforcement end
The half symmetrical structure of the main spring of few piece is made of 4 sections of root flat segments, parabolic segment, oblique line section and end flat segments, oblique line section
Booster action is risen to main spring end；The non-equal structures of end flat segments of each main spring, i.e., the thickness of the end flat segments of the 1st main spring
And length, it is more than the thickness and length of the end flat segments of other each main spring；Between auxiliary spring contact and main spring end flat segments
Equipped with certain major-minor spring gap, when load when load is functioned to more than auxiliary spring, auxiliary spring contact is flat with main spring end
Certain point is in contact in straight section；It is given in the structural parameters of each main spring, elasticity modulus, major-minor spring gap design value, it is right
The auxiliary spring of the reinforced few piece major-minor spring of the end contact load that works is checked, and steps are as follows for specific checking computations：
(1) each reinforcement end lacks the endpoint deformation coefficient G of the main spring of piecex-EiIt calculates：
Lack the half length L of the main spring of piece, width b, elastic modulus E, the length Δ l of oblique line section, parabola according to reinforcement end
Distance l of the root of section to main spring endpoint2, main reed number N, wherein the thickness of each main spring root flat segments is h2, i-th master
The end thickness of the parabolic segment of spring is h1ip, the thickness ratio β of the parabolic segment of i-th main springi=h1ip/h2, i-th main spring be oblique
Distance l of the root of line segment to main spring endpoint1ip, the distance l of the end of i-th main spring oblique line section to main spring endpoint1i, i-th master
The thickness of the end flat segments of spring is h1i, thickness ratio γ=h of oblique line section1i/h1ip, i=1,2 ..., N, to the end of each main spring
Point deformation coefficient Gx-EiIt is calculated, i.e.,
(2) N piece reinforcement ends lack deformation coefficient G of the main spring of piece at end flat segments and auxiliary spring contact pointx-DEIt calculates：
Lack the half length L of the main spring of piece, width b, elastic modulus E, the length Δ l of oblique line section, parabola according to reinforcement end
Distance l of the root of section to main spring endpoint2；Main reed number N, wherein the end thickness of the parabolic segment of the main spring of N pieces is h1Np,
The thickness ratio β of the parabolic segment of the main spring of N piecesN=h1Np/h2, the distance l of the root of oblique line section to main spring endpoint1Np, oblique line section
Distance l of the end to main spring endpoint1N, the thickness ratio γ of oblique line section；The horizontal distance l of auxiliary spring contact and main spring endpoint0；To N
Deformation coefficient G of the main spring of piece at end flat segments and auxiliary spring contact pointx-DEIt is calculated, i.e.,
(3) each reinforcement end lacks the half stiffness K of the main spring of pieceMiIt calculates：
Lack the thickness h of the root flat segments of the main spring of piece according to each reinforcement end2, calculate in main reed number N and step (1)
The endpoint deformation coefficient G of each main spring arrivedx-Ei, the half stiffness K of the main spring of piece is lacked to each reinforcement endMiIt is calculated,
I.e.
(4) contact reinforcement end in end lacks the auxiliary spring of piece major-minor spring and works load pKChecking computations：
Lack the thickness h of the root flat segments of the main spring of piece according to each reinforcement end2, main reed number N, major-minor spring gap delta, step
(2) G being calculated inx-DEAnd the half stiffness K for each main spring being calculated in step (3)Mi, to end contact end
The auxiliary spring of the reinforced few piece major-minor spring in portion works load pKIt is checked, i.e.,
In formula, KMNFor the half rigidity of the main spring of N pieces.
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| CN106844902B (en) * | 2017-01-03 | 2020-02-21 | 山东理工大学 | Deflection calculation method of non-equal-frequency-bias one-level gradient stiffness plate spring suspension |
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